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Finding the Fourth Proportional to 13,096.94, 19,650.28 and 6,080.34

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Solution

The fourth proportional to 13,096.94, 19,650.28 and 6,080.34 is: 9,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.94 : 19,650.28 = 6,080.34 : x
  2. Step 2: Convert to fraction form
    13,096.94/19,650.28 = 6,080.34/x
  3. Step 3: Cross multiply
    13,096.94x = 19,650.28 × 6,080.34
  4. Step 4: Simplify right side
    13,096.94x = 119,480,383.50
  5. Step 5: Solve for x
    x = 119,480,383.50/13,096.94
  6. Step 6: Final answer
    x = 9,122.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.